ハイドロプレーニング現象解析のための粒子法－有限要素法連成ＧＰＵ計算法

在本研究中，首次针对MPS方法提出了一种二维柔性鬼胞边界（GCB）模型，该模型的吸引力在于为复杂形状的壁边界提供了一种简单自然的处理方法。一方面，利用不同大小或形状的鬼细胞可以很容易地表示墙体边界，并且鬼细胞是在预处理阶段构建的。另一方面，粒子-细胞相互作用可以通过MPS模型的积分版来建模，该模型需要每个细胞的特定面积，而传统版本的MPS模型仍然通过假设每个粒子占用相同的面积来处理壁面附近的粒子-粒子相互作用。为了方便计算粒子-细胞相互作用，采用高斯积分法。相关结果已发表在《计算力学》杂志上。其次，提出了一种显式MPS-FEM耦合算法。本文提出的耦合算法具有以下特点：(1)该算法提供了一种简便、高效的构造鬼细胞的方法；(2)细胞尺寸与粒子间距不存在匹配要求。相应的研究成果已作为期刊论文发表在《工程分析与边界元素》上。除了上述期刊论文外，我们还参加了6次国际会议并与其他研究人员发表了我们的研究成果，包括ICCES20119， ICCM2019, USNCCM2019, APCOM2019， COMPSAFE2020和WCCM ECCOMAS2020。

In this research, a 2D flexible ghost cell boundary (GCB) model was firstly proposed for the MPS method, where the appeal of the novel model lies in providing an easy and natural treatment for the wall boundary of complicated shapes. On one hand, the wall boundary can be easily represented by using ghost cells of different sizes or shapes, and ghost cells are constructed in the pre-processing phase. On the other hand, the particle-cell interaction can be modeled by an integral version of the MPS model that requires the specific area of each cell, while the particle-particle interaction near wall boundary is still handled by the conventional version of the MPS model via assuming that each particle takes the same area. In order to calculate the particle-cell interaction, the Gauss integration method is applied for convenience. The related results have been published as a journal paper on Computational Mechanics. Secondly, an explicit MPS-FEM coupling algorithm was proposed. The developed coupling algorithm bears the following features: (1) this algorithm provides an easy and efficient way to construct ghost cells; (2) there is no matching requirement between cell size and particle spacing. Corresponding research results have been published as a journal paper on Engineering Analysis with Boundary Elements.In addition to the above journal papers, we have attended six international conferences and presented our research results with other researchers, including the ICCES20119, the ICCM2019, the USNCCM2019, the APCOM2019, the COMPSAFE2020 and the WCCM ECCOMAS2020.